Pith Number

pith:PNK76BAY

pith:2016:PNK76BAYZOPYNK2EH77HWHEPSJ

not attested not anchored not stored refs pending

Small-large subgroups of the reals

Andrzej Roslanowski, Saharon Shelah

arxiv:1605.02261 v2 · 2016-05-08 · math.LO

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PNK76BAYZOPYNK2EH77HWHEPSJ}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T01:13:17.471504Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7b55ff0418cb9f86ab443ffe7b1c8f926cbe0aaf0c440de3da478971594dc804

Aliases

arxiv: 1605.02261 · arxiv_version: 1605.02261v2 · doi: 10.48550/arxiv.1605.02261 · pith_short_12: PNK76BAYZOPY · pith_short_16: PNK76BAYZOPYNK2E · pith_short_8: PNK76BAY

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/PNK76BAYZOPYNK2EH77HWHEPSJ \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 7b55ff0418cb9f86ab443ffe7b1c8f926cbe0aaf0c440de3da478971594dc804

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "33d59ba56423c737dd5c306fd4be18af6e3b0bda8cf1157a45355ef9b00322b9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2016-05-08T02:14:29Z",
    "title_canon_sha256": "04d3f16de1d24b6b0e64e5a1f3a5e41487d20d4b9654ab8060b7fa95d587d91e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.02261",
    "kind": "arxiv",
    "version": 2
  }
}